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Giải pháp quang học mới của phương trình Ginzburg–Landau phức phát sinh trong laser bán dẫn
Tóm tắt
Quang phi tuyến thu hút nhiều sự chú ý của các nhà vật lý và toán học nhờ vào cấu trúc toán học đầy thách thức của nó. Nghiên cứu về các hệ không Hamilton và trì trệ là một trong những vấn đề phức tạp và đầy thử thách nhất trong quang phi tuyến. Các nghiên cứu gần đây cho thấy có mối quan hệ mật thiết giữa hiện tượng siêu dẫn, ngưng tụ Bose–Einstein và laser bán dẫn. Do đó, phương trình Ginzburg–Landau phức tạp bậc ba (CGLE) được coi là một công cụ hữu ích trong việc điều tra các sự kiện quang phi tuyến. Mặt khác, CGLE là một loại phương trình rất tổng quát điều khiển một loạt các hiện tượng phân nhánh và sóng phi tuyến trong các hệ thống mở rộng theo không gian và thời gian. Trong bài báo này, chúng tôi đạt được giải pháp sóng mới của CGLE thời gian phân đoạn với sự hỗ trợ của phương pháp khai triển Jacobi elliptic.
Từ khóa
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